Information on Result #1092085

Linear OOA(3214, 71, F3, 4, 115) (dual of [(71, 4), 70, 116]-NRT-code), using construction X applied to AG(4;F,72P) ⊂ AG(4;F,114P) based on
  1. linear OOA(3160, 47, F3, 4, 115) (dual of [(47, 4), 28, 116]-NRT-code), using algebraic-geometric NRT-code AG(4;F,72P) [i] based on function field F/F3 with g(F) = 45 and N(F) ≥ 48, using
  2. linear OOA(3118, 47, F3, 4, 73) (dual of [(47, 4), 70, 74]-NRT-code), using algebraic-geometric NRT-code AG(4;F,114P) [i] based on function field F/F3 with g(F) = 45 and N(F) ≥ 48 (see above)
  3. linear OOA(354, 24, F3, 4, 41) (dual of [(24, 4), 42, 42]-NRT-code), using

Mode: Constructive and linear.

Optimality

Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

ResultThis
result
only
Method
1Linear OOA(3214, 71, F3, 4, 114) (dual of [(71, 4), 70, 115]-NRT-code) [i]Strength Reduction for OOAs
2Linear OOA(3214, 71, F3, 4, 113) (dual of [(71, 4), 70, 114]-NRT-code) [i]